Differential Graded Lie Algebras and Deformations of Holomorphic Maps

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We construct the deformation functor associated to a couple of morphisms of differential graded Lie algebras, and use it to study the infinitesimal deformations of a holomorphic map of compact complex manifolds. In particular, in the case of Kähler manifolds we describe a generalizzation of the semiregularity map.
PhD Thesis, 117 pages

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Algebraic Geometry, Quantum Algebra, 13D10; 14D15; 32G05

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http://salesiana.dossiersoluciones.com/handle/123456789/121044

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701091
 http://arxiv.org/abs/math/0701091

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arXiv